Anice is a given name. Notable people with the name include:
- Anice Badri (born 1990), Tunisian footballer
- Anice Das (born 1985), Indian-born Dutch speed skater
- Anice George, Indian nurse and academic
- Anice Johnson (1919–1992), American politician
Fictional characters with the name include:
- Anice Farm, from the anime television series Sonic Soldier Borgman